\(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket
type: Item
instance of: scholarly article
title: \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket
zbMATH Open document ID: 1486.28005
author: V. Agrawal
author: Tanmoy Som
published in: Results in Mathematics
publication date: 2022-03-15T00:00:00Z
review text: After recalling the definition of iterated function system (IFS) as originally introduced by Barnsley \& Demko, the authors review fractal interpolation on the Sierpiński gasket (SG) and investigate the approximation of functions by fractal functions defined on SG in the \(\mathcal{L}^p\)-norm. Properties of the associated fractal operator \(\mathcal{F}^\alpha\) are also presented in this context. Lastly, dimension-preserving approximation in the \(\mathcal{L}^p\)-norm is discussed.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 7490185
zbMATH Keywords: fractal interpolation functions
zbMATH Keywords: fractal dimension
zbMATH Keywords: Sierpiński gasket
zbMATH Keywords: self-similar measure
zbMATH Keywords: \(\mathcal{L}^p\)-approximation
reviewed by: Peter Massopust
MaRDI profile type: Publication
full work available at URL: s00025-021-01565-5
OpenAlex ID: W4212939091
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DOI: 10.1007/S00025-021-01565-5
description: scientific article; zbMATH DE number 7490185